Add arXiv reference

FNN_witnesses.ipynb

@@ -4,15 +4,15 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "# Computational appendix of [arXiv:2105.xxxxx](https://www.arxiv.org/abs/2105.xxxxx)\n",
+    "# Computational appendix of [arXiv:2105.09325](https://www.arxiv.org/abs/2105.09325)\n",
     "---\n",
-    "In this notebook we perform a setp-by-step implementation of the hybrid classical-nonsignaling inflation of the bilocal scenario presented in [arXiv:2105.xxxxx](https://www.arxiv.org/abs/2105.xxxxx) and obtain the full network nonlocality witnesses presented there, namely Equations (6-7) and (F1-F2).\n",
+    "In this notebook we perform a setp-by-step implementation of the hybrid classical-nonsignaling inflation of the bilocal scenario presented in [arXiv:2105.09325](https://www.arxiv.org/abs/2105.09325) and obtain the full network nonlocality witnesses presented there, namely Equations (6-7) and (F1-F2).\n",
     "\n",
     "Authors: Alejandro Pozas-Kerstjens\n",
     "\n",
     "Requires: [mosek](https://www.mosek.com/), [numpy](https://numpy.org/), [picos](https://picos-api.gitlab.io/picos/), [qutip](http://qutip.org/), [sympy](https://www.sympy.org/)\n",
     "\n",
-    "Last updated: 12 May, 2021\n",
+    "Last updated: 21 May, 2021\n",
     "\n",
     "## Introduction\n",
     "In this notebook we follow Appendix C of the manuscript in order to implement the linear program arising from application of the [inflation technique](https://www.degruyter.com/document/doi/10.1515/jci-2017-0020/html) to detect whether a tripartite distribution admits a realisation in the bilocal network when one of the sources is assumed to be classical and the other one distributes a general no-signaling resource. We will begin by implementing step by step the linear program in Equation (C6) through direct implementation of Equations (C1-C5), solving the problem, extracting the associated certificate of infeasibility, and deriving from it the full network nonlocality witness in Equation (6) in the manuscript. Next, we will make use of the advanced manipulation of linear programs offered by [picos](https://picos-api.gitlab.io/picos/) in order to simplify the derivation of Equations (7) and (F1-F2).\n",

README.md

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 ## Computational appendix of *[Full network nonlocality](https://www.arxiv.org/abs/2105.xxxxx)*
 #### Alejandro Pozas-Kerstjens, Nicolas Gisin and Armin Tavakoli
 
-This is a repository containing the computational appendix of the article "*Full network nonlocality*. Alejandro Pozas-Kerstjens, Nicolas Gisin, and Armin Tavakoli. [arXiv:2105.xxxxx](https://www.arxiv.org/abs/2501.xxxxx)." It provides a detailed explanation of how to write the linear programming problems associated to hybrid classical-nonsignaling inflations, and the necessary codes for obtaining the full network Bell inequalities depicted in the manuscript.
+This is a repository containing the computational appendix of the article "*Full network nonlocality*. Alejandro Pozas-Kerstjens, Nicolas Gisin, and Armin Tavakoli. [arXiv:2105.09325](https://www.arxiv.org/abs/2105.09325)." It provides a detailed explanation of how to write the linear programming problems associated to hybrid classical-nonsignaling inflations, and the necessary codes for obtaining the full network Bell inequalities depicted in the manuscript.
 
 All code is written in Python.
 
@@ -16,13 +16,13 @@ Libraries required:
 
 If you would like to cite this work, please use the following format:
 
-A. Pozas-Kerstjens, N. Gisin, and A. Tavakoli, _Full network nonlocality_, arXiv:2105.xxxxx
+A. Pozas-Kerstjens, N. Gisin, and A. Tavakoli, _Full network nonlocality_, arXiv:2105.09325
 
 ```
 @misc{fullnn,
 author = {Pozas-Kerstjens, Alejandro and Gisin, Nicolas and Tavakoli, Armin},
 title = {{Full network nonlocality}},
-eprint = {2105.xxxxx},
+eprint = {2105.09325},
 archivePrefix={arXiv}
 }
 ```